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114056473000 = 23531371794651
BaseRepresentation
bin110101000111001001…
…0111010100110101000
3101220101210101011012211
41222032102322212220
53332041424114000
6124221414014504
711145266011231
oct1521622724650
9356353334184
10114056473000
11444099a6338
121a131347434
13a9a8a320a2
14573dc38088
152e782c57ba
hex1a8e4ba9a8

114056473000 has 128 divisors (see below), whose sum is σ = 270400291200. Its totient is φ = 45026880000.

The previous prime is 114056472991. The next prime is 114056473007. The reversal of 114056473000 is 374650411.

It is not an unprimeable number, because it can be changed into a prime (114056473007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24520675 + ... + 24525325.

It is an arithmetic number, because the mean of its divisors is an integer number (2112502275).

Almost surely, 2114056473000 is an apocalyptic number.

114056473000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114056473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135200145600).

114056473000 is an abundant number, since it is smaller than the sum of its proper divisors (156343818200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114056473000 is a wasteful number, since it uses less digits than its factorization.

114056473000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 114056473000 in words is "one hundred fourteen billion, fifty-six million, four hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 179 200 250 274 358 500 548 685 716 895 1000 1096 1370 1432 1790 2740 3425 3580 4475 4651 5480 6850 7160 8950 9302 13700 17125 17900 18604 22375 23255 24523 27400 34250 35800 37208 44750 46510 49046 68500 89500 93020 98092 116275 122615 137000 179000 186040 196184 232550 245230 465100 490460 581375 613075 637187 832529 930200 980920 1162750 1226150 1274374 1665058 2325500 2452300 2548748 3065375 3185935 3330116 4162645 4651000 4904600 5097496 6130750 6371870 6660232 8325290 12261500 12743740 15929675 16650580 20813225 24523000 25487480 31859350 33301160 41626450 63718700 79648375 83252900 104066125 114056473 127437400 159296750 166505800 208132250 228112946 318593500 416264500 456225892 570282365 637187000 832529000 912451784 1140564730 2281129460 2851411825 4562258920 5702823650 11405647300 14257059125 22811294600 28514118250 57028236500 114056473000